Rockfish Historical Harvest Estimates

This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.

Issue	Howard	Bayes
Time series	1999 - present	1977 - present
Bias in SWHS	Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests.	Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases	Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data.	Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations	Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas.	Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation	Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with.	By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Results

• Model: LB_fit_3pH

• Model Run: Gen4int_indcomp_swhsR_FULL_pHB4pars_re0_altwt_FIX_thru2024_3e+05_2025-11-04 (Naming convention: modelname_thruYEAR_iters_rundate)

• Proportion of parmaters converged (Rhat <= 1.1): 0.981

• See end of document for summary of unconverged parameters.

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

And black rockfish releases…

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 13.- Other rockfish (non-pelagic and non-yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 14.- Other rockfish (non-pelagic and non-yelloweye) releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Total Biomass Removal Estimates

Figure 15.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 18.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 19.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Model fit

Logbook residuals

Figure 20.- Residuals from logbook harvests.

SWHS residuals

Figure 21.- Residuals from SWHS harvests.

Figure 22.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

Figure 23.- Mean percent of harvest by charter anglers.

When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

Figure 24.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.

Figure 25.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 26.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 27.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 28.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 29.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

Figure 30.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

Figure 31.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

Figure 32.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

Figure 33.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

Figure 35.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

Figure 36.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(slope|non-pelagic & non-yellowye) For release estimates

## NULL

Weight Fits

Figure 37.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 40.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 41.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.2947846

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.15 while 0.85 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable	area_n	year	user	mean	median	lower	upper	Rhat	sd	skew	area
p_pelagic	11	1	1	0.453	0.449	0.226	0.704	1.021	0.127	0.031	CSEO
p_yellow	11	1	2	0.432	0.420	0.170	0.738	1.011	0.150	0.080	CSEO
p_pelagic	11	10	1	0.455	0.452	0.229	0.702	1.026	0.125	0.024	CSEO
p_yellow	11	10	1	0.520	0.519	0.238	0.816	1.010	0.150	0.007	CSEO
p_pelagic	11	11	1	0.454	0.454	0.217	0.709	1.026	0.127	0.000	CSEO
p_pelagic	11	11	2	0.391	0.384	0.173	0.641	1.037	0.124	0.056	CSEO
p_pelagic	11	12	1	0.453	0.451	0.210	0.699	1.014	0.128	0.016	CSEO
p_pelagic	11	12	2	0.390	0.380	0.174	0.656	1.025	0.126	0.079	CSEO
p_pelagic	11	13	1	0.454	0.451	0.223	0.708	1.020	0.126	0.024	CSEO
p_pelagic	11	13	2	0.387	0.380	0.174	0.635	1.024	0.122	0.057	CSEO
p_pelagic	11	14	1	0.465	0.463	0.236	0.711	1.017	0.122	0.016	CSEO
p_pelagic	11	14	2	0.390	0.385	0.167	0.640	1.019	0.123	0.041	CSEO
p_pelagic	11	15	2	0.380	0.370	0.168	0.637	1.030	0.122	0.082	CSEO
p_yellow	11	15	1	0.510	0.511	0.221	0.802	1.013	0.151	-0.007	CSEO
p_yellow	11	15	2	0.430	0.419	0.167	0.741	1.011	0.149	0.074	CSEO
p_pelagic	11	16	1	0.470	0.465	0.248	0.706	1.020	0.120	0.042	CSEO
p_pelagic	11	16	2	0.394	0.385	0.174	0.652	1.020	0.124	0.073	CSEO
p_pelagic	11	17	1	0.460	0.456	0.231	0.702	1.018	0.122	0.033	CSEO
p_pelagic	11	17	2	0.392	0.385	0.174	0.641	1.018	0.123	0.057	CSEO
p_pelagic	11	18	2	0.395	0.388	0.173	0.646	1.014	0.123	0.057	CSEO
p_yellow	11	18	1	0.521	0.520	0.239	0.808	1.011	0.150	0.007	CSEO
p_pelagic	11	19	1	0.471	0.467	0.243	0.718	1.017	0.124	0.032	CSEO
p_pelagic	11	19	2	0.397	0.390	0.179	0.652	1.018	0.124	0.057	CSEO
p_pelagic	11	2	1	0.454	0.453	0.209	0.707	1.028	0.128	0.008	CSEO
p_pelagic	11	2	2	0.389	0.382	0.178	0.655	1.029	0.122	0.057	CSEO
p_pelagic	11	20	1	0.468	0.466	0.235	0.708	1.010	0.123	0.016	CSEO
p_pelagic	11	20	2	0.394	0.388	0.172	0.645	1.018	0.124	0.048	CSEO
p_yellow	11	20	2	0.432	0.422	0.173	0.733	1.014	0.148	0.068	CSEO
p_pelagic	11	21	1	0.469	0.467	0.252	0.711	1.014	0.121	0.017	CSEO
p_pelagic	11	21	2	0.393	0.383	0.178	0.651	1.021	0.122	0.082	CSEO
p_pelagic	11	22	2	0.399	0.393	0.183	0.652	1.013	0.122	0.049	CSEO
p_yellow	11	22	2	0.433	0.423	0.170	0.742	1.011	0.150	0.067	CSEO
p_yellow	11	23	1	0.539	0.538	0.263	0.805	1.010	0.143	0.007	CSEO
p_yellow	11	23	2	0.445	0.439	0.177	0.765	1.012	0.155	0.039	CSEO
p_yellow	11	24	1	0.494	0.485	0.226	0.791	1.011	0.146	0.062	CSEO
p_yellow	11	25	2	0.441	0.436	0.180	0.755	1.012	0.153	0.033	CSEO
p_yellow	11	26	1	0.513	0.511	0.241	0.801	1.011	0.146	0.014	CSEO
p_yellow	11	26	2	0.441	0.432	0.173	0.745	1.014	0.152	0.059	CSEO
p_yellow	11	27	1	0.520	0.515	0.241	0.795	1.011	0.147	0.034	CSEO
p_yellow	11	27	2	0.447	0.437	0.173	0.755	1.011	0.153	0.065	CSEO
p_pelagic	11	3	1	0.456	0.455	0.216	0.696	1.026	0.127	0.008	CSEO
p_pelagic	11	3	2	0.389	0.379	0.176	0.641	1.027	0.122	0.082	CSEO
p_pelagic	11	4	1	0.452	0.450	0.214	0.703	1.025	0.128	0.016	CSEO
p_pelagic	11	4	2	0.386	0.377	0.169	0.649	1.026	0.123	0.073	CSEO
p_pelagic	11	5	1	0.453	0.448	0.216	0.703	1.021	0.128	0.039	CSEO
p_pelagic	11	5	2	0.390	0.383	0.171	0.648	1.023	0.123	0.057	CSEO
p_yellow	11	5	1	0.517	0.512	0.232	0.806	1.012	0.150	0.033	CSEO
p_pelagic	11	6	1	0.455	0.451	0.220	0.703	1.015	0.127	0.032	CSEO
p_pelagic	11	6	2	0.391	0.383	0.166	0.643	1.033	0.126	0.063	CSEO
p_yellow	11	6	1	0.520	0.517	0.232	0.809	1.012	0.153	0.020	CSEO
p_yellow	11	6	2	0.435	0.427	0.166	0.737	1.019	0.151	0.053	CSEO
p_pelagic	11	7	1	0.453	0.450	0.215	0.698	1.024	0.128	0.023	CSEO
p_pelagic	11	7	2	0.389	0.384	0.172	0.642	1.023	0.124	0.040	CSEO
p_pelagic	11	8	1	0.455	0.451	0.220	0.703	1.019	0.128	0.031	CSEO
p_pelagic	11	8	2	0.388	0.383	0.170	0.648	1.024	0.123	0.041	CSEO
p_pelagic	11	9	1	0.457	0.454	0.217	0.710	1.035	0.128	0.023	CSEO
p_pelagic	11	9	2	0.387	0.378	0.175	0.629	1.023	0.121	0.074	CSEO
p_pelagic	13	1	1	0.341	0.323	0.103	0.666	1.547	0.154	0.117	NSEI
p_pelagic	13	1	2	0.154	0.129	0.034	0.392	1.554	0.097	0.257	NSEI
p_yellow	13	1	1	0.531	0.458	0.125	0.991	1.602	0.284	0.257	NSEI
p_yellow	13	1	2	0.543	0.471	0.135	0.992	1.623	0.281	0.256	NSEI
p_pelagic	13	10	1	0.355	0.336	0.116	0.668	1.436	0.153	0.125	NSEI
p_pelagic	13	10	2	0.156	0.134	0.040	0.393	1.527	0.093	0.236	NSEI
p_yellow	13	10	1	0.535	0.452	0.139	0.992	1.632	0.284	0.293	NSEI
p_yellow	13	10	2	0.543	0.469	0.139	0.992	1.631	0.280	0.264	NSEI
p_pelagic	13	11	1	0.357	0.340	0.112	0.667	1.453	0.148	0.115	NSEI
p_pelagic	13	11	2	0.161	0.141	0.040	0.395	1.450	0.094	0.214	NSEI
p_yellow	13	11	1	0.535	0.461	0.136	0.991	1.617	0.283	0.262	NSEI
p_yellow	13	11	2	0.542	0.468	0.143	0.991	1.583	0.282	0.263	NSEI
p_pelagic	13	12	1	0.355	0.339	0.116	0.671	1.445	0.149	0.107	NSEI
p_pelagic	13	12	2	0.160	0.138	0.041	0.403	1.479	0.094	0.233	NSEI
p_yellow	13	12	1	0.537	0.469	0.139	0.991	1.588	0.280	0.243	NSEI
p_yellow	13	12	2	0.542	0.466	0.144	0.992	1.653	0.281	0.270	NSEI
p_pelagic	13	13	1	0.360	0.343	0.124	0.673	1.455	0.147	0.115	NSEI
p_pelagic	13	13	2	0.164	0.143	0.044	0.393	1.449	0.093	0.226	NSEI
p_yellow	13	13	1	0.536	0.458	0.136	0.991	1.613	0.281	0.277	NSEI
p_yellow	13	13	2	0.540	0.465	0.137	0.992	1.577	0.280	0.267	NSEI
p_pelagic	13	14	1	0.356	0.341	0.123	0.662	1.549	0.146	0.103	NSEI
p_pelagic	13	14	2	0.162	0.141	0.043	0.403	1.484	0.092	0.228	NSEI
p_yellow	13	14	1	0.540	0.472	0.140	0.991	1.594	0.280	0.243	NSEI
p_yellow	13	14	2	0.540	0.469	0.142	0.991	1.609	0.281	0.252	NSEI
p_pelagic	13	15	1	0.337	0.318	0.113	0.665	1.595	0.149	0.128	NSEI
p_pelagic	13	15	2	0.159	0.138	0.042	0.375	1.524	0.090	0.234	NSEI
p_yellow	13	15	1	0.531	0.448	0.137	0.991	1.641	0.283	0.293	NSEI
p_yellow	13	15	2	0.540	0.460	0.141	0.992	1.653	0.281	0.285	NSEI
p_pelagic	13	16	1	0.362	0.347	0.132	0.668	1.474	0.143	0.105	NSEI
p_pelagic	13	16	2	0.171	0.152	0.048	0.400	1.422	0.092	0.206	NSEI
p_yellow	13	16	1	0.538	0.466	0.130	0.991	1.621	0.284	0.254	NSEI
p_yellow	13	16	2	0.540	0.469	0.133	0.991	1.619	0.282	0.252	NSEI
p_pelagic	13	17	1	0.376	0.364	0.149	0.674	1.406	0.141	0.085	NSEI
p_pelagic	13	17	2	0.172	0.154	0.047	0.400	1.401	0.091	0.197	NSEI
p_yellow	13	17	1	0.539	0.464	0.129	0.991	1.609	0.280	0.268	NSEI
p_yellow	13	17	2	0.543	0.481	0.143	0.992	1.617	0.281	0.221	NSEI
p_pelagic	13	18	1	0.386	0.368	0.160	0.686	1.425	0.140	0.128	NSEI
p_pelagic	13	18	2	0.180	0.161	0.053	0.417	1.426	0.095	0.200	NSEI
p_yellow	13	18	1	0.535	0.465	0.131	0.991	1.628	0.281	0.249	NSEI
p_yellow	13	18	2	0.537	0.467	0.136	0.992	1.626	0.281	0.249	NSEI
p_pelagic	13	19	1	0.381	0.371	0.152	0.665	1.364	0.138	0.073	NSEI
p_pelagic	13	19	2	0.177	0.159	0.054	0.393	1.393	0.089	0.202	NSEI
p_yellow	13	19	1	0.533	0.452	0.137	0.991	1.623	0.283	0.287	NSEI
p_yellow	13	19	2	0.540	0.467	0.137	0.992	1.591	0.283	0.258	NSEI
p_pelagic	13	2	1	0.342	0.320	0.105	0.674	1.540	0.155	0.142	NSEI
p_pelagic	13	2	2	0.150	0.126	0.036	0.390	1.545	0.094	0.256	NSEI
p_yellow	13	2	1	0.538	0.465	0.132	0.992	1.604	0.280	0.260	NSEI
p_yellow	13	2	2	0.538	0.463	0.134	0.991	1.611	0.286	0.262	NSEI
p_pelagic	13	20	1	0.394	0.385	0.160	0.686	1.357	0.137	0.066	NSEI
p_pelagic	13	20	2	0.187	0.169	0.060	0.417	1.270	0.094	0.192	NSEI
p_yellow	13	20	1	0.535	0.462	0.135	0.991	1.630	0.282	0.259	NSEI
p_yellow	13	20	2	0.542	0.470	0.139	0.992	1.611	0.281	0.256	NSEI
p_pelagic	13	21	1	0.410	0.402	0.180	0.691	1.262	0.134	0.060	NSEI
p_pelagic	13	21	2	0.193	0.178	0.060	0.405	1.237	0.090	0.167	NSEI
p_yellow	13	21	1	0.535	0.461	0.133	0.992	1.617	0.282	0.263	NSEI
p_yellow	13	21	2	0.537	0.466	0.131	0.992	1.616	0.282	0.251	NSEI
p_pelagic	13	22	2	0.195	0.179	0.066	0.416	1.253	0.090	0.177	NSEI
p_yellow	13	22	1	0.534	0.454	0.134	0.991	1.620	0.281	0.284	NSEI
p_yellow	13	22	2	0.539	0.470	0.134	0.991	1.628	0.283	0.244	NSEI
p_pelagic	13	23	1	0.606	0.606	0.582	0.630	1.013	0.012	0.000	NSEI
p_pelagic	13	23	2	0.121	0.112	0.043	0.260	1.082	0.055	0.163	NSEI
p_yellow	13	23	1	0.503	0.420	0.113	0.988	1.639	0.289	0.287	NSEI
p_yellow	13	23	2	0.579	0.522	0.171	0.993	1.565	0.267	0.213	NSEI
p_pelagic	13	24	1	0.568	0.568	0.550	0.586	1.011	0.009	0.000	NSEI
p_pelagic	13	24	2	0.079	0.077	0.041	0.131	1.024	0.023	0.085	NSEI
p_yellow	13	24	1	0.503	0.417	0.113	0.988	1.622	0.287	0.299	NSEI
p_yellow	13	24	2	0.576	0.524	0.162	0.994	1.580	0.269	0.193	NSEI
p_pelagic	13	25	2	0.120	0.112	0.048	0.239	1.032	0.051	0.157	NSEI
p_yellow	13	25	1	0.501	0.418	0.113	0.989	1.602	0.284	0.292	NSEI
p_yellow	13	25	2	0.575	0.525	0.163	0.994	1.571	0.268	0.187	NSEI
p_pelagic	13	26	1	0.644	0.644	0.615	0.672	1.011	0.014	0.000	NSEI
p_yellow	13	26	1	0.496	0.416	0.111	0.989	1.625	0.285	0.281	NSEI
p_yellow	13	26	2	0.574	0.516	0.165	0.993	1.545	0.264	0.220	NSEI
p_pelagic	13	27	1	0.565	0.565	0.544	0.588	1.010	0.011	0.000	NSEI
p_yellow	13	27	1	0.482	0.396	0.105	0.989	1.587	0.282	0.305	NSEI
p_yellow	13	27	2	0.566	0.511	0.159	0.992	1.586	0.264	0.209	NSEI
p_yellow	13	28	1	0.484	0.412	0.113	0.987	1.582	0.272	0.265	NSEI
p_yellow	13	28	2	0.563	0.515	0.173	0.993	1.534	0.257	0.187	NSEI
p_yellow	13	29	1	0.448	0.377	0.109	0.978	1.519	0.254	0.279	NSEI
p_yellow	13	29	2	0.545	0.502	0.168	0.987	1.501	0.244	0.176	NSEI
p_pelagic	13	3	1	0.344	0.325	0.107	0.663	1.529	0.153	0.124	NSEI
p_pelagic	13	3	2	0.151	0.131	0.034	0.383	1.483	0.093	0.215	NSEI
p_yellow	13	3	1	0.535	0.457	0.134	0.992	1.630	0.284	0.275	NSEI
p_yellow	13	3	2	0.540	0.467	0.140	0.992	1.614	0.282	0.259	NSEI
p_yellow	13	30	2	0.358	0.356	0.266	0.460	1.014	0.051	0.039	NSEI
p_pelagic	13	4	1	0.343	0.325	0.112	0.669	1.543	0.152	0.119	NSEI
p_pelagic	13	4	2	0.154	0.130	0.034	0.381	1.540	0.094	0.256	NSEI
p_yellow	13	4	1	0.536	0.464	0.134	0.991	1.609	0.281	0.257	NSEI
p_yellow	13	4	2	0.540	0.464	0.135	0.991	1.618	0.282	0.269	NSEI
p_dsr	13	44	1	0.360	0.355	0.263	0.476	1.012	0.055	0.090	NSEI
p_pelagic	13	5	1	0.342	0.322	0.111	0.673	1.582	0.154	0.130	NSEI
p_pelagic	13	5	2	0.153	0.129	0.036	0.389	1.554	0.094	0.254	NSEI
p_yellow	13	5	1	0.540	0.469	0.132	0.991	1.603	0.281	0.253	NSEI
p_yellow	13	5	2	0.543	0.471	0.143	0.992	1.607	0.280	0.257	NSEI
p_pelagic	13	6	1	0.349	0.332	0.106	0.675	1.507	0.154	0.110	NSEI
p_pelagic	13	6	2	0.154	0.130	0.034	0.389	1.528	0.095	0.253	NSEI
p_yellow	13	6	1	0.536	0.459	0.136	0.992	1.611	0.282	0.273	NSEI
p_yellow	13	6	2	0.539	0.463	0.134	0.991	1.633	0.282	0.270	NSEI
p_pelagic	13	7	1	0.345	0.329	0.110	0.668	1.475	0.149	0.107	NSEI
p_pelagic	13	7	2	0.154	0.131	0.037	0.386	1.517	0.093	0.248	NSEI
p_yellow	13	7	1	0.533	0.456	0.131	0.991	1.627	0.286	0.270	NSEI
p_yellow	13	7	2	0.541	0.463	0.140	0.992	1.612	0.280	0.279	NSEI
p_pelagic	13	8	1	0.350	0.331	0.112	0.669	1.479	0.149	0.127	NSEI
p_pelagic	13	8	2	0.156	0.134	0.038	0.382	1.460	0.093	0.236	NSEI
p_yellow	13	8	1	0.531	0.461	0.130	0.991	1.618	0.283	0.248	NSEI
p_yellow	13	8	2	0.540	0.467	0.138	0.992	1.604	0.282	0.258	NSEI
p_pelagic	13	9	1	0.353	0.335	0.114	0.670	1.499	0.150	0.120	NSEI
p_pelagic	13	9	2	0.156	0.137	0.038	0.395	1.472	0.094	0.203	NSEI
p_yellow	13	9	1	0.535	0.466	0.134	0.991	1.632	0.283	0.244	NSEI
p_yellow	13	9	2	0.542	0.468	0.147	0.992	1.643	0.281	0.263	NSEI
p_pelagic	14	1	2	0.407	0.404	0.171	0.673	1.012	0.131	0.023	NSEO
p_pelagic	14	11	1	0.430	0.424	0.200	0.681	1.011	0.125	0.048	NSEO
p_pelagic	14	12	2	0.405	0.398	0.181	0.667	1.011	0.127	0.055	NSEO
p_yellow	14	13	1	0.572	0.558	0.242	0.980	1.011	0.183	0.076	NSEO
p_yellow	14	14	1	0.572	0.560	0.249	0.978	1.013	0.184	0.065	NSEO
p_yellow	14	17	1	0.573	0.560	0.253	0.982	1.011	0.184	0.071	NSEO
p_yellow	14	17	2	0.613	0.605	0.302	0.983	1.010	0.174	0.046	NSEO
p_yellow	14	19	1	0.577	0.569	0.255	0.978	1.012	0.182	0.044	NSEO
p_yellow	14	2	1	0.576	0.565	0.250	0.977	1.010	0.183	0.060	NSEO
p_pelagic	14	3	2	0.406	0.399	0.176	0.664	1.011	0.129	0.054	NSEO
p_pelagic	14	4	2	0.405	0.398	0.177	0.674	1.010	0.130	0.054	NSEO
p_pelagic	14	5	2	0.405	0.399	0.177	0.674	1.011	0.129	0.047	NSEO
p_yellow	14	5	1	0.578	0.567	0.257	0.979	1.011	0.181	0.061	NSEO
p_yellow	14	5	2	0.617	0.607	0.298	0.984	1.010	0.173	0.058	NSEO
p_pelagic	14	6	2	0.405	0.399	0.179	0.674	1.013	0.130	0.046	NSEO
p_yellow	14	8	1	0.574	0.566	0.250	0.981	1.010	0.183	0.044	NSEO
p_pelagic	16	1	1	0.420	0.421	0.157	0.689	1.051	0.140	-0.007	SSEO
p_pelagic	16	1	2	0.398	0.396	0.135	0.670	1.063	0.138	0.014	SSEO
p_pelagic	16	10	1	0.425	0.425	0.165	0.695	1.040	0.138	0.000	SSEO
p_pelagic	16	10	2	0.403	0.397	0.150	0.688	1.047	0.137	0.044	SSEO
p_pelagic	16	11	1	0.424	0.423	0.174	0.685	1.054	0.134	0.007	SSEO
p_pelagic	16	11	2	0.405	0.401	0.151	0.681	1.039	0.139	0.029	SSEO
p_pelagic	16	12	1	0.422	0.420	0.168	0.683	1.040	0.135	0.015	SSEO
p_pelagic	16	12	2	0.402	0.398	0.152	0.674	1.044	0.137	0.029	SSEO
p_pelagic	16	13	1	0.428	0.427	0.172	0.689	1.044	0.137	0.007	SSEO
p_pelagic	16	13	2	0.404	0.399	0.161	0.677	1.040	0.134	0.037	SSEO
p_pelagic	16	14	1	0.415	0.411	0.171	0.685	1.032	0.134	0.030	SSEO
p_pelagic	16	14	2	0.404	0.400	0.166	0.663	1.044	0.132	0.030	SSEO
p_pelagic	16	15	1	0.417	0.411	0.175	0.680	1.024	0.133	0.045	SSEO
p_pelagic	16	15	2	0.403	0.395	0.162	0.666	1.033	0.131	0.061	SSEO
p_pelagic	16	16	1	0.410	0.404	0.170	0.674	1.032	0.132	0.045	SSEO
p_pelagic	16	16	2	0.400	0.394	0.166	0.665	1.023	0.131	0.046	SSEO
p_pelagic	16	17	1	0.460	0.462	0.209	0.717	1.025	0.129	-0.016	SSEO
p_pelagic	16	17	2	0.417	0.413	0.176	0.671	1.021	0.128	0.031	SSEO
p_pelagic	16	18	1	0.439	0.437	0.206	0.691	1.016	0.126	0.016	SSEO
p_pelagic	16	18	2	0.417	0.412	0.186	0.676	1.015	0.130	0.038	SSEO
p_pelagic	16	19	1	0.431	0.426	0.203	0.680	1.017	0.125	0.040	SSEO
p_pelagic	16	19	2	0.413	0.409	0.182	0.670	1.014	0.129	0.031	SSEO
p_pelagic	16	2	1	0.418	0.414	0.147	0.688	1.048	0.141	0.028	SSEO
p_pelagic	16	2	2	0.398	0.392	0.136	0.666	1.055	0.139	0.043	SSEO
p_pelagic	16	20	2	0.420	0.415	0.192	0.676	1.017	0.127	0.039	SSEO
p_pelagic	16	3	1	0.417	0.414	0.155	0.685	1.045	0.141	0.021	SSEO
p_pelagic	16	3	2	0.394	0.388	0.142	0.670	1.047	0.137	0.044	SSEO
p_dsr	16	31	1	0.397	0.397	0.374	0.427	1.017	0.013	0.000	SSEO
p_dsr	16	36	1	0.604	0.603	0.573	0.634	1.018	0.016	0.064	SSEO
p_slope	16	36	1	0.059	0.060	0.038	0.078	1.064	0.010	-0.096	SSEO
p_slope	16	37	1	0.064	0.065	0.044	0.083	1.019	0.010	-0.102	SSEO
p_pelagic	16	4	1	0.421	0.418	0.166	0.691	1.039	0.138	0.022	SSEO
p_pelagic	16	4	2	0.400	0.394	0.149	0.677	1.043	0.138	0.044	SSEO
p_pelagic	16	42	1	0.833	0.833	0.827	0.840	1.059	0.003	0.000	SSEO
p_yellow	16	42	1	0.407	0.407	0.385	0.430	1.022	0.011	0.000	SSEO
p_dsr	16	42	1	0.446	0.438	0.405	0.503	2.155	0.028	0.289	SSEO
p_slope	16	42	1	0.173	0.183	0.115	0.211	2.410	0.028	-0.353	SSEO
p_pelagic	16	5	1	0.421	0.418	0.151	0.692	1.039	0.140	0.021	SSEO
p_pelagic	16	5	2	0.402	0.400	0.140	0.674	1.049	0.139	0.014	SSEO
p_pelagic	16	6	1	0.419	0.421	0.162	0.676	1.050	0.135	-0.015	SSEO
p_pelagic	16	6	2	0.401	0.400	0.140	0.683	1.051	0.137	0.007	SSEO
p_pelagic	16	7	1	0.425	0.425	0.156	0.698	1.047	0.141	0.000	SSEO
p_pelagic	16	7	2	0.400	0.398	0.152	0.659	1.047	0.134	0.015	SSEO
p_pelagic	16	8	1	0.420	0.416	0.169	0.690	1.038	0.138	0.029	SSEO
p_pelagic	16	8	2	0.397	0.392	0.145	0.673	1.045	0.137	0.036	SSEO
p_pelagic	16	9	1	0.425	0.425	0.166	0.695	1.048	0.137	0.000	SSEO
p_pelagic	16	9	2	0.402	0.399	0.150	0.667	1.045	0.136	0.022	SSEO
p_pelagic	3	1	1	0.548	0.557	0.272	0.787	1.012	0.134	-0.067	PWSI
p_pelagic	3	11	1	0.553	0.560	0.280	0.791	1.016	0.134	-0.052	PWSI
p_pelagic	3	13	1	0.549	0.557	0.276	0.798	1.012	0.135	-0.059	PWSI
p_pelagic	3	14	1	0.556	0.565	0.277	0.795	1.012	0.134	-0.067	PWSI
p_pelagic	3	4	1	0.547	0.558	0.278	0.780	1.011	0.132	-0.083	PWSI
p_pelagic	3	5	1	0.547	0.550	0.277	0.789	1.017	0.134	-0.022	PWSI
p_pelagic	3	6	1	0.549	0.556	0.280	0.789	1.011	0.136	-0.052	PWSI
p_pelagic	4	1	1	0.548	0.558	0.255	0.786	1.037	0.139	-0.072	PWSO
p_pelagic	4	1	2	0.542	0.546	0.272	0.787	1.041	0.136	-0.029	PWSO
p_pelagic	4	10	1	0.548	0.556	0.269	0.796	1.032	0.137	-0.058	PWSO
p_pelagic	4	10	2	0.546	0.555	0.255	0.793	1.040	0.136	-0.066	PWSO
p_pelagic	4	11	1	0.551	0.557	0.279	0.795	1.034	0.134	-0.045	PWSO
p_pelagic	4	11	2	0.541	0.547	0.259	0.782	1.035	0.136	-0.044	PWSO
p_pelagic	4	12	1	0.549	0.556	0.276	0.793	1.037	0.136	-0.051	PWSO
p_pelagic	4	12	2	0.548	0.558	0.265	0.787	1.036	0.138	-0.072	PWSO
p_pelagic	4	13	1	0.552	0.561	0.282	0.787	1.047	0.135	-0.067	PWSO
p_pelagic	4	13	2	0.548	0.556	0.272	0.789	1.045	0.135	-0.059	PWSO
p_pelagic	4	14	1	0.546	0.549	0.275	0.798	1.044	0.139	-0.022	PWSO
p_pelagic	4	14	2	0.549	0.559	0.280	0.782	1.031	0.132	-0.076	PWSO
p_pelagic	4	15	1	0.544	0.547	0.274	0.786	1.039	0.134	-0.022	PWSO
p_pelagic	4	15	2	0.545	0.553	0.268	0.785	1.026	0.136	-0.059	PWSO
p_pelagic	4	16	1	0.544	0.547	0.270	0.796	1.025	0.138	-0.022	PWSO
p_pelagic	4	16	2	0.548	0.555	0.262	0.786	1.051	0.137	-0.051	PWSO
p_pelagic	4	17	1	0.550	0.557	0.284	0.793	1.042	0.134	-0.052	PWSO
p_pelagic	4	17	2	0.547	0.550	0.275	0.795	1.027	0.134	-0.022	PWSO
p_pelagic	4	18	1	0.549	0.557	0.272	0.789	1.037	0.135	-0.059	PWSO
p_pelagic	4	18	2	0.546	0.549	0.283	0.789	1.030	0.133	-0.023	PWSO
p_pelagic	4	19	1	0.551	0.558	0.279	0.793	1.036	0.135	-0.052	PWSO
p_pelagic	4	19	2	0.552	0.555	0.285	0.792	1.033	0.134	-0.022	PWSO
p_pelagic	4	2	1	0.548	0.555	0.265	0.792	1.043	0.137	-0.051	PWSO
p_pelagic	4	2	2	0.547	0.556	0.264	0.790	1.029	0.139	-0.065	PWSO
p_pelagic	4	20	2	0.463	0.463	0.240	0.701	1.015	0.120	0.000	PWSO
p_pelagic	4	21	2	0.410	0.407	0.249	0.585	1.012	0.087	0.035	PWSO
p_pelagic	4	3	1	0.549	0.557	0.283	0.786	1.038	0.133	-0.060	PWSO
p_pelagic	4	3	2	0.545	0.552	0.265	0.783	1.034	0.136	-0.052	PWSO
p_pelagic	4	4	1	0.545	0.551	0.261	0.792	1.045	0.137	-0.044	PWSO
p_pelagic	4	4	2	0.547	0.553	0.272	0.786	1.042	0.134	-0.045	PWSO
p_pelagic	4	5	1	0.550	0.557	0.275	0.795	1.046	0.136	-0.051	PWSO
p_pelagic	4	5	2	0.545	0.548	0.276	0.801	1.036	0.137	-0.022	PWSO
p_pelagic	4	6	1	0.551	0.558	0.273	0.793	1.036	0.136	-0.052	PWSO
p_pelagic	4	6	2	0.548	0.558	0.265	0.792	1.041	0.138	-0.073	PWSO
p_pelagic	4	7	1	0.550	0.556	0.274	0.789	1.044	0.134	-0.045	PWSO
p_pelagic	4	7	2	0.546	0.553	0.258	0.783	1.049	0.138	-0.051	PWSO
p_pelagic	4	8	1	0.552	0.558	0.272	0.791	1.056	0.137	-0.044	PWSO
p_pelagic	4	8	2	0.546	0.552	0.262	0.783	1.034	0.137	-0.044	PWSO
p_pelagic	4	9	1	0.551	0.556	0.281	0.802	1.031	0.135	-0.037	PWSO
p_pelagic	4	9	2	0.549	0.559	0.258	0.792	1.033	0.139	-0.072	PWSO
p_pelagic	6	1	2	0.846	0.941	0.141	1.000	1.014	0.220	-0.431	SOKO2SAP
p_pelagic	6	12	2	0.847	0.940	0.156	1.000	1.012	0.218	-0.426	SOKO2SAP
p_pelagic	6	13	2	0.847	0.939	0.149	1.000	1.011	0.220	-0.418	SOKO2SAP
p_pelagic	6	15	2	0.848	0.942	0.151	1.000	1.010	0.219	-0.430	SOKO2SAP
p_pelagic	6	16	2	0.846	0.938	0.138	1.000	1.011	0.220	-0.418	SOKO2SAP
p_pelagic	6	18	2	0.847	0.939	0.132	1.000	1.012	0.219	-0.419	SOKO2SAP
p_pelagic	6	19	2	0.844	0.939	0.154	1.000	1.010	0.221	-0.431	SOKO2SAP
p_pelagic	6	2	2	0.846	0.939	0.145	1.000	1.013	0.220	-0.423	SOKO2SAP
p_pelagic	6	20	2	0.847	0.941	0.145	1.000	1.011	0.219	-0.430	SOKO2SAP
p_pelagic	6	22	2	0.846	0.940	0.136	1.000	1.012	0.219	-0.429	SOKO2SAP
p_pelagic	6	23	2	0.847	0.939	0.133	1.000	1.012	0.220	-0.418	SOKO2SAP
p_pelagic	6	24	2	0.846	0.941	0.130	1.000	1.010	0.221	-0.430	SOKO2SAP
p_pelagic	6	25	2	0.846	0.941	0.144	1.000	1.012	0.219	-0.433	SOKO2SAP
p_pelagic	6	27	2	0.845	0.940	0.144	1.000	1.011	0.221	-0.430	SOKO2SAP
p_pelagic	6	28	2	0.846	0.940	0.142	1.000	1.010	0.219	-0.429	SOKO2SAP
p_pelagic	6	3	2	0.846	0.938	0.149	1.000	1.011	0.220	-0.419	SOKO2SAP
p_pelagic	6	30	2	0.846	0.939	0.148	1.000	1.012	0.220	-0.422	SOKO2SAP
p_pelagic	6	31	2	0.850	0.939	0.150	1.000	1.011	0.215	-0.414	SOKO2SAP
p_pelagic	6	32	2	0.845	0.937	0.155	1.000	1.010	0.220	-0.418	SOKO2SAP
p_pelagic	6	33	2	0.846	0.939	0.161	1.000	1.010	0.219	-0.424	SOKO2SAP
p_pelagic	6	35	2	0.844	0.942	0.142	1.000	1.011	0.222	-0.441	SOKO2SAP
p_pelagic	6	36	2	0.847	0.942	0.143	1.000	1.013	0.219	-0.434	SOKO2SAP
p_pelagic	6	37	2	0.847	0.939	0.144	1.000	1.011	0.219	-0.420	SOKO2SAP
p_pelagic	6	39	2	0.846	0.937	0.143	1.000	1.012	0.218	-0.418	SOKO2SAP
p_pelagic	6	40	2	0.847	0.938	0.142	1.000	1.013	0.217	-0.419	SOKO2SAP
p_pelagic	6	41	2	0.849	0.940	0.145	1.000	1.013	0.216	-0.421	SOKO2SAP
p_pelagic	6	42	2	0.846	0.939	0.149	1.000	1.013	0.221	-0.421	SOKO2SAP
p_pelagic	6	43	2	0.844	0.937	0.141	1.000	1.011	0.222	-0.418	SOKO2SAP
p_pelagic	6	5	2	0.847	0.943	0.147	1.000	1.012	0.220	-0.436	SOKO2SAP
p_pelagic	6	6	2	0.846	0.937	0.143	1.000	1.010	0.221	-0.412	SOKO2SAP
p_pelagic	6	7	2	0.846	0.937	0.135	1.000	1.011	0.219	-0.415	SOKO2SAP
p_pelagic	6	8	2	0.846	0.940	0.154	1.000	1.013	0.218	-0.430	SOKO2SAP
p_pelagic	6	9	2	0.846	0.939	0.134	1.000	1.011	0.220	-0.423	SOKO2SAP
p_black	8	40	1	0.527	0.420	0.343	0.968	1.073	0.224	0.477	afognak

Table Xb. True parameters with an Rhat in excess of 1.1

variable	area_n	year/species	mean	median	lower	upper	Rhat	sd	skew	year	area
beta2_pH	10	1	2.180	1.047	0.354	10.808	1.409	2.641	0.429		northeast
beta0_pH	11	1	0.014	0.019	-0.648	0.542	1.131	0.292	-0.017		CSEO
beta0_pelagic	11		-0.199	-0.180	-0.656	0.132	1.221	0.194	-0.098		CSEO
beta1_pelagic	11		1.237	1.215	0.752	1.881	1.245	0.274	0.080		CSEO
beta2_yellow	11		-10.519	-10.177	-21.637	-0.539	1.620	6.676	-0.051		CSEO
beta0_pH	12	1	0.631	0.629	0.206	0.998	1.118	0.202	0.010		EWYKT
beta1_pH	12	1	2.892	2.890	2.325	3.497	1.101	0.300	0.007		EWYKT
beta0_pH	13	1	-0.016	-0.576	-0.998	1.330	13.044	0.952	0.588		NSEI
beta1_pH	13	1	2.329	3.301	0.020	3.957	14.250	1.636	-0.594		NSEI
beta2_pH	13	1	1.279	1.002	0.484	3.640	1.594	0.796	0.348		NSEI
beta3_pH	13	1	31.842	31.415	29.484	37.314	1.435	1.778	0.240		NSEI
beta4_pH	13	1	0.659	0.640	0.607	0.735	5.243	0.042	0.451		NSEI
beta5_pH	13	1	3.338	3.338	3.308	3.369	1.245	0.016	0.000		NSEI
beta0_pelagic	13		-0.775	-0.825	-1.695	0.171	2.297	0.573	0.087		NSEI
beta1_pelagic	13		2.511	2.556	1.138	3.867	1.680	0.712	-0.063		NSEI
beta2_pelagic	13		0.224	0.184	0.096	0.627	1.596	0.131	0.305		NSEI
beta3_pelagic	13		32.144	31.925	24.804	39.485	1.599	4.281	0.051		NSEI
beta1_yellow	13		1.814	1.021	0.031	5.850	1.734	1.688	0.470		NSEI
beta3_yellow	13		32.776	32.455	29.085	39.303	1.421	3.013	0.107		NSEI
beta_H	13	3	8.920	8.922	8.553	9.293	1.191	0.190	-0.011		NSEI
beta0_pH	14	1	0.063	0.055	-0.296	0.421	1.154	0.184	0.043		NSEO
beta1_pH	14	1	2.749	2.760	2.069	3.413	1.172	0.343	-0.032		NSEO
beta1_pelagic	14		1.846	1.743	1.161	3.001	1.135	0.466	0.221		NSEO
beta0_pH	15	1	0.071	0.103	-0.533	0.442	1.146	0.228	-0.140		SSEI
beta1_pH	15	1	2.392	2.346	1.792	3.526	1.180	0.388	0.119		SSEI
beta2_yellow	15		-9.184	-9.406	-19.394	-0.439	1.273	5.283	0.042		SSEI
beta1_pH	16	4	3.491	3.494	2.102	4.836	1.119	0.684	-0.004		SSEO
beta0_pelagic	16		-0.365	-0.268	-1.489	0.102	1.333	0.382	-0.254		SSEO
beta1_pelagic	16		1.469	1.290	0.716	2.981	1.153	0.608	0.295		SSEO
mu_beta2_pH	2	1	2.295	1.064	0.185	12.676	1.461	3.153	0.390		NG
beta1_pH	2	1	1.559	1.554	1.005	2.122	1.101	0.290	0.017		NG
mu_beta0_pH	3	1	-0.016	-0.051	-0.819	0.898	1.279	0.448	0.078		PWSI
tau_beta0_pH	3	1	2.430	1.719	0.247	8.525	1.173	2.447	0.291		PWSI
tau_beta1_pH	3	1	7.501	1.468	0.048	57.250	1.208	14.593	0.413		PWSI
tau_beta1_pH	3	4	5.171	3.132	0.304	23.911	1.147	7.628	0.267		PWSI
mu_beta2_pH	3	1	1.440	0.832	0.053	7.054	1.132	1.867	0.326		PWSI
beta0_pelagic	4		0.215	0.257	-0.611	0.710	1.184	0.300	-0.140		PWSO
beta1_pelagic	4		0.835	0.791	0.298	1.729	1.187	0.328	0.134		PWSO
beta0_pH	5	1	-0.712	-0.683	-1.593	-0.054	1.140	0.384	-0.075		BSAI
beta1_pH	5	1	2.229	2.187	1.405	3.342	1.128	0.484	0.087		BSAI
beta2_pH	5	1	2.861	1.743	0.301	12.914	1.340	3.205	0.349		BSAI
beta0_pH	6	1	-0.444	-0.354	-1.479	0.115	1.160	0.400	-0.225		SOKO2SAP
beta1_pH	6	1	2.017	1.812	0.965	4.119	1.218	0.795	0.258		SOKO2SAP
beta2_pH	6	1	2.059	0.577	0.116	12.915	1.447	3.341	0.444		SOKO2SAP
beta0_pH	8	1	-0.531	-0.468	-1.430	0.024	1.214	0.397	-0.159		afognak
beta1_pH	8	1	2.286	2.011	1.014	4.557	1.472	0.938	0.293		afognak
beta2_pH	8	1	1.698	0.479	0.118	11.054	1.528	2.748	0.444		afognak
beta0_pH	9	1	-0.259	-0.234	-0.925	0.250	1.177	0.294	-0.085		eastside
beta1_pH	9	1	1.918	1.837	1.123	3.292	1.302	0.554	0.146		eastside
beta2_pH	9	1	1.902	0.716	0.190	10.999	1.427	2.711	0.438		eastside
logbc_R	13	14	1.041	1.056	0.377	1.633	1.193	0.315	-0.048		NSEI
logbc_R	13	15	0.826	0.843	0.107	1.437	1.215	0.333	-0.051		NSEI
logbc_R	13	16	1.041	1.054	0.403	1.643	1.222	0.309	-0.042		NSEI
logbc_R	13	17	1.082	1.087	0.446	1.697	1.207	0.310	-0.016		NSEI
logbc_R	13	18	1.084	1.081	0.482	1.687	1.200	0.303	0.010		NSEI
logbc_R	13	19	1.025	1.033	0.386	1.621	1.230	0.312	-0.026		NSEI
logbc_R	13	20	1.048	1.055	0.414	1.654	1.251	0.314	-0.022		NSEI
logbc_R	13	21	1.080	1.080	0.458	1.666	1.291	0.307	0.000		NSEI
logbc_R	13	22	0.970	0.978	0.309	1.600	1.453	0.327	-0.024		NSEI
logbc_R	13	31	1.331	1.329	0.896	1.740	1.136	0.212	0.009		NSEI
logbc_R	13	32	1.097	1.097	0.683	1.490	1.121	0.203	0.000		NSEI
logbc_R	13	33	1.320	1.312	0.871	1.796	1.160	0.229	0.035		NSEI
mu_bc_R	13		1.072	1.075	0.885	1.260	1.205	0.095	-0.032		NSEI
sd_bc_R	13		0.315	0.310	0.176	0.480	1.116	0.077	0.065		NSEI
lambda_H	15		0.019	0.014	0.003	0.055	1.160	0.031	0.164		SSEI
lambda_H	16		0.558	0.245	0.032	3.098	1.175	1.154	0.271		SSEO

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic	non.BSAI.SOKO.Harv	BSAI.SOKO.Harv	non.BSAI.SOKO.Rel	BSAI.SOKO.Rel
n unconverged at Rhat = 1.01	794.00	308.00	1,483.00	355.00
Prop. of total	0.72	0.28	0.81	0.19
Prop. median less than 1	0.15	0.17	0.25	0.47
Prop. median less than 10	0.23	0.47	0.41	0.78
Prop. median less than 50	0.31	0.71	0.55	0.82
Median of the median values	456.19	11.92	30.20	1.48
Mean of the median values	1,441.06	519.45	449.82	180.66
Mean skew of posteriors	0.21	0.29	0.26	0.24

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic	non.BSAI.SOKO.Harv	BSAI.SOKO.Harv	non.BSAI.SOKO.Rel	BSAI.SOKO.Rel
n unconverged at Rhat = 1.1	147.00	10.00	201.00	46.00
Prop. of total	0.94	0.06	0.81	0.19
Prop. median less than 1	0.01	0.60	0.21	0.76
Prop. median less than 10	0.01	0.90	0.25	0.96
Prop. median less than 50	0.02	1.00	0.27	0.96
Median of the median values	1,257.14	0.27	278.29	0.16
Mean of the median values	1,105.58	3.54	638.06	3.76
Mean skew of posteriors	0.23	0.20	0.22	0.17

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable	Freq
beta_H	1
beta0_pelagic	4
beta0_pH	9
beta1_pelagic	5
beta1_pH	8
beta1_yellow	1
beta2_pelagic	1
beta2_pH	6
beta2_yellow	2
beta3_pelagic	1
beta3_pH	1
beta3_yellow	1
beta4_pH	1
beta5_pH	1
Bp_ay	21
Bp_ayg	11
Bp_ayu	22
deviance	1
eps_dsr	1
eps_pel	12
eps_pH	63
eps_sl	1
eps_ye	3
H_ay	7
H_ayg	9
Hb_ay	21
Hb_ayg	22
Hb_ayu	22
Hd_ay	1
Hd_ayg	1
Ho_ay	2
Ho_ayg	1
Ho_ayu	3
Hp_ay	22
Hp_ayg	22
Hp_ayu	22
Hs_ay	1
Hs_ayg	1
Hs_ayu	1
Htrend_ay	13
Hy_ay	32
Hy_ayg	30
Hy_ayu	32
lambda_H	2
logbc_R	12
logRhat_ay	1
mean_eps_pH	1
mu_bc_R	1
mu_beta0_pH	1
mu_beta2_pH	2
p_dsr	1
p_pelagic	43
p_slope	2
p_yellow	58
pH	80
R_ay	32
R_ayg	25
R_ayu	10
Rb_ay	37
Rb_ayg	24
Rb_ayu	25
Rd_ay	3
Rd_ayg	7
Rd_ayu	5
re_dsr	1
re_pelagic	25
re_pH	86
re_slope	1
re_yellow	4
Ro_ay	16
Ro_ayg	14
Ro_ayu	34
Rp_ay	44
Rp_ayg	26
Rp_ayu	28
Rs_ay	8
Rs_ayg	12
Rs_ayu	17
Ry_ay	40
Ry_ayg	27
Ry_ayu	39
sd_bc_R	1
sd_pH	1
tau_beta0_pH	1
tau_beta1_pH	2
tau_pH	1

Parameter estimates:

Summary Table of Parameter Estimates

Parameter	mean	sd	Lower_CI	Median	Upper_CI
mu_bc_H[1]	-0.016	0.070	-0.149	-0.017	0.125
mu_bc_H[2]	0.068	0.055	-0.037	0.067	0.185
mu_bc_H[3]	-0.275	0.066	-0.400	-0.276	-0.137
mu_bc_H[4]	-0.931	0.185	-1.298	-0.925	-0.584
mu_bc_H[5]	1.403	1.240	0.120	1.111	4.604
mu_bc_H[6]	-2.393	0.309	-2.970	-2.393	-1.767
mu_bc_H[7]	-0.447	0.103	-0.655	-0.444	-0.258
mu_bc_H[8]	0.262	0.353	-0.328	0.230	1.045
mu_bc_H[9]	-0.255	0.126	-0.502	-0.258	-0.007
mu_bc_H[10]	0.057	0.067	-0.070	0.054	0.189
mu_bc_H[11]	-0.123	0.036	-0.196	-0.124	-0.051
mu_bc_H[12]	-0.248	0.107	-0.480	-0.245	-0.050
mu_bc_H[13]	-0.172	0.073	-0.311	-0.172	-0.029
mu_bc_H[14]	-0.311	0.091	-0.497	-0.311	-0.135
mu_bc_H[15]	-0.336	0.047	-0.430	-0.336	-0.241
mu_bc_H[16]	-0.143	0.371	-0.760	-0.182	0.709
mu_bc_R[1]	1.050	0.122	0.809	1.051	1.291
mu_bc_R[2]	1.013	0.078	0.850	1.014	1.159
mu_bc_R[3]	0.240	0.092	0.055	0.241	0.423
mu_bc_R[4]	0.681	0.200	0.265	0.691	1.036
mu_bc_R[5]	1.702	0.367	1.017	1.700	2.419
mu_bc_R[6]	-1.420	0.332	-2.072	-1.423	-0.767
mu_bc_R[7]	0.511	0.168	0.170	0.515	0.826
mu_bc_R[8]	0.661	0.147	0.381	0.657	0.959
mu_bc_R[9]	0.396	0.169	0.035	0.404	0.699
mu_bc_R[10]	0.903	0.109	0.697	0.901	1.121
mu_bc_R[11]	1.108	0.073	0.965	1.110	1.250
mu_bc_R[12]	0.884	0.161	0.573	0.880	1.201
mu_bc_R[13]	1.072	0.095	0.885	1.075	1.260
mu_bc_R[14]	0.866	0.124	0.634	0.866	1.104
mu_bc_R[15]	0.807	0.099	0.613	0.805	1.002
mu_bc_R[16]	1.347	0.113	1.124	1.347	1.563
tau_pH[1]	2.282	0.289	1.750	2.322	2.772
tau_pH[2]	1.629	0.153	1.343	1.625	1.934
tau_pH[3]	1.218	0.115	1.007	1.211	1.456
tau_pH[4]	1.103	0.151	0.836	1.092	1.435
tau_pH[5]	0.432	0.079	0.292	0.425	0.607
beta0_pH[1,1]	0.562	0.188	0.164	0.569	0.903
beta0_pH[2,1]	1.421	0.169	1.091	1.426	1.742
beta0_pH[3,1]	1.407	0.208	0.961	1.425	1.770
beta0_pH[4,1]	1.580	0.254	0.993	1.601	2.032
beta0_pH[5,1]	-0.712	0.384	-1.593	-0.683	-0.054
beta0_pH[6,1]	-0.444	0.400	-1.479	-0.354	0.115
beta0_pH[7,1]	0.758	0.011	0.737	0.758	0.779
beta0_pH[8,1]	-0.531	0.397	-1.430	-0.468	0.024
beta0_pH[9,1]	-0.259	0.294	-0.925	-0.234	0.250
beta0_pH[10,1]	0.275	0.188	-0.102	0.282	0.624
beta0_pH[11,1]	0.014	0.292	-0.648	0.019	0.542
beta0_pH[12,1]	0.631	0.202	0.206	0.629	0.998
beta0_pH[13,1]	-0.016	0.952	-0.998	-0.576	1.330
beta0_pH[14,1]	0.063	0.184	-0.296	0.055	0.421
beta0_pH[15,1]	0.071	0.228	-0.533	0.103	0.442
beta0_pH[16,1]	-0.848	0.224	-1.277	-0.845	-0.409
beta0_pH[1,2]	2.560	0.086	2.393	2.560	2.733
beta0_pH[2,2]	3.079	0.022	3.037	3.079	3.123
beta0_pH[3,2]	3.626	0.041	3.547	3.625	3.708
beta0_pH[4,2]	2.935	0.019	2.899	2.935	2.974
beta0_pH[5,2]	4.593	1.546	2.754	4.256	8.434
beta0_pH[6,2]	3.326	0.160	3.024	3.327	3.649
beta0_pH[7,2]	2.033	0.050	1.934	2.033	2.130
beta0_pH[8,2]	2.823	0.066	2.697	2.822	2.948
beta0_pH[9,2]	3.960	0.207	3.573	3.954	4.389
beta0_pH[10,2]	3.998	0.126	3.763	3.996	4.243
beta0_pH[11,2]	1.885	0.009	1.868	1.885	1.903
beta0_pH[12,2]	1.795	0.068	1.661	1.794	1.930
beta0_pH[13,2]	2.496	0.026	2.445	2.496	2.548
beta0_pH[14,2]	1.804	0.024	1.758	1.804	1.850
beta0_pH[15,2]	2.544	0.017	2.511	2.544	2.577
beta0_pH[16,2]	2.764	0.025	2.716	2.764	2.816
beta0_pH[1,3]	1.132	0.333	0.336	1.177	1.687
beta0_pH[2,3]	2.126	0.018	2.092	2.126	2.161
beta0_pH[3,3]	2.692	0.024	2.647	2.691	2.741
beta0_pH[4,3]	2.980	0.034	2.915	2.979	3.049
beta0_pH[5,3]	3.379	2.291	0.905	2.765	9.694
beta0_pH[6,3]	1.360	0.368	0.737	1.324	2.146
beta0_pH[7,3]	0.861	0.050	0.769	0.859	0.961
beta0_pH[8,3]	0.266	0.218	-0.214	0.291	0.617
beta0_pH[9,3]	-2.197	1.093	-4.696	-2.075	-0.431
beta0_pH[10,3]	-0.484	0.823	-2.414	-0.387	0.803
beta0_pH[11,3]	1.073	0.525	-0.074	1.116	1.975
beta0_pH[12,3]	0.944	0.652	-0.488	0.958	2.216
beta0_pH[13,3]	0.963	0.487	-0.106	1.001	1.820
beta0_pH[14,3]	0.554	0.462	-0.467	0.593	1.320
beta0_pH[15,3]	0.700	0.454	-0.325	0.724	1.519
beta0_pH[16,3]	1.155	0.633	-0.073	1.140	2.400
beta0_pH[11,4]	0.890	0.508	-0.245	0.930	1.790
beta0_pH[12,4]	0.949	0.683	-0.391	0.956	2.272
beta0_pH[13,4]	0.731	0.489	-0.303	0.769	1.592
beta0_pH[14,4]	0.424	0.463	-0.543	0.456	1.237
beta0_pH[15,4]	0.595	0.497	-0.376	0.614	1.463
beta0_pH[16,4]	0.878	0.607	-0.338	0.886	2.082
beta0_pH[11,5]	2.969	0.149	2.697	2.967	3.287
beta0_pH[12,5]	-0.904	0.519	-1.924	-0.899	0.098
beta0_pH[13,5]	4.911	0.420	4.149	4.896	5.799
beta0_pH[14,5]	3.899	0.362	3.230	3.882	4.634
beta0_pH[15,5]	2.287	0.123	2.052	2.284	2.545
beta0_pH[16,5]	0.225	0.052	0.151	0.215	0.352
beta1_pH[1,1]	2.536	0.486	1.745	2.480	3.714
beta1_pH[2,1]	1.559	0.290	1.005	1.554	2.122
beta1_pH[3,1]	1.748	0.360	1.130	1.731	2.557
beta1_pH[4,1]	1.895	0.474	1.165	1.838	3.300
beta1_pH[5,1]	2.229	0.484	1.405	2.187	3.342
beta1_pH[6,1]	2.017	0.795	0.965	1.812	4.119
beta1_pH[7,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,1]	2.286	0.938	1.014	2.011	4.557
beta1_pH[9,1]	1.918	0.554	1.123	1.837	3.292
beta1_pH[10,1]	2.075	0.343	1.445	2.062	2.784
beta1_pH[11,1]	3.451	0.493	2.570	3.410	4.508
beta1_pH[12,1]	2.892	0.300	2.325	2.890	3.497
beta1_pH[13,1]	2.329	1.636	0.020	3.301	3.957
beta1_pH[14,1]	2.749	0.343	2.069	2.760	3.413
beta1_pH[15,1]	2.392	0.388	1.792	2.346	3.526
beta1_pH[16,1]	3.986	0.316	3.355	3.996	4.587
beta1_pH[1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[5,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[9,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[10,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[11,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[1,3]	2.004	1.273	0.036	1.839	5.568
beta1_pH[2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[5,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,3]	4.848	2.630	0.916	4.269	11.463
beta1_pH[9,3]	7.525	2.782	3.227	7.121	13.699
beta1_pH[10,3]	6.513	2.611	2.734	6.008	12.506
beta1_pH[11,3]	2.214	0.561	1.170	2.186	3.382
beta1_pH[12,3]	3.269	0.681	1.991	3.231	4.804
beta1_pH[13,3]	2.034	0.516	1.097	1.998	3.129
beta1_pH[14,3]	2.231	0.516	1.323	2.191	3.346
beta1_pH[15,3]	2.136	0.525	1.189	2.102	3.245
beta1_pH[16,3]	3.721	0.687	2.362	3.734	5.071
beta1_pH[11,4]	1.932	0.564	0.833	1.914	3.083
beta1_pH[12,4]	3.113	0.707	1.768	3.098	4.547
beta1_pH[13,4]	1.265	0.509	0.331	1.228	2.291
beta1_pH[14,4]	1.945	0.528	0.947	1.924	3.011
beta1_pH[15,4]	1.428	0.543	0.411	1.433	2.468
beta1_pH[16,4]	3.491	0.684	2.102	3.494	4.836
beta1_pH[11,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[1,1]	1.343	0.896	0.335	1.012	3.428
beta2_pH[2,1]	1.703	0.945	0.365	1.536	3.444
beta2_pH[3,1]	1.442	0.815	0.255	1.283	2.932
beta2_pH[4,1]	1.180	0.818	0.187	0.900	2.926
beta2_pH[5,1]	2.861	3.205	0.301	1.743	12.914
beta2_pH[6,1]	2.059	3.341	0.116	0.577	12.915
beta2_pH[7,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,1]	1.698	2.748	0.118	0.479	11.054
beta2_pH[9,1]	1.902	2.711	0.190	0.716	10.999
beta2_pH[10,1]	2.180	2.641	0.354	1.047	10.808
beta2_pH[11,1]	0.359	0.159	0.179	0.327	0.796
beta2_pH[12,1]	1.695	0.849	0.643	1.453	3.716
beta2_pH[13,1]	1.279	0.796	0.484	1.002	3.640
beta2_pH[14,1]	1.283	0.792	0.446	0.997	3.552
beta2_pH[15,1]	1.184	0.758	0.242	0.968	3.380
beta2_pH[16,1]	1.131	0.444	0.642	1.019	2.486
beta2_pH[1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[5,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[9,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[10,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[11,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[12,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[13,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[14,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[15,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[16,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[1,3]	6.702	6.616	0.111	5.082	22.246
beta2_pH[2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[5,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,3]	1.366	1.212	0.197	1.010	5.160
beta2_pH[9,3]	0.303	0.534	0.086	0.195	1.223
beta2_pH[10,3]	0.426	0.688	0.105	0.261	2.008
beta2_pH[11,3]	-5.689	4.574	-16.965	-4.295	-0.601
beta2_pH[12,3]	-6.518	4.525	-17.598	-5.297	-1.205
beta2_pH[13,3]	-5.948	4.594	-17.967	-4.455	-0.996
beta2_pH[14,3]	-6.105	4.446	-17.514	-4.752	-1.249
beta2_pH[15,3]	-6.099	4.439	-17.617	-4.872	-1.009
beta2_pH[16,3]	-6.011	4.265	-17.092	-4.601	-1.487
beta2_pH[11,4]	-6.402	4.591	-17.805	-5.197	-0.781
beta2_pH[12,4]	-6.672	4.491	-17.574	-5.700	-1.128
beta2_pH[13,4]	-6.451	4.589	-17.944	-5.317	-0.900
beta2_pH[14,4]	-6.536	4.522	-17.986	-5.291	-1.177
beta2_pH[15,4]	-6.416	4.525	-17.389	-5.305	-0.949
beta2_pH[16,4]	-6.770	4.379	-17.935	-5.552	-1.542
beta2_pH[11,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[12,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[13,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[14,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[15,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[16,5]	0.000	0.000	0.000	0.000	0.000
beta3_pH[1,1]	34.916	1.129	32.898	34.866	37.445
beta3_pH[2,1]	32.483	1.309	30.025	32.499	35.110
beta3_pH[3,1]	32.860	1.203	30.379	32.850	35.284
beta3_pH[4,1]	32.720	2.002	29.576	32.523	37.284
beta3_pH[5,1]	27.663	1.118	26.127	27.514	30.512
beta3_pH[6,1]	33.327	3.130	26.117	33.150	40.650
beta3_pH[7,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,1]	35.688	3.838	27.470	36.700	41.419
beta3_pH[9,1]	32.242	2.661	27.560	31.942	38.903
beta3_pH[10,1]	32.210	1.155	30.082	32.158	34.551
beta3_pH[11,1]	31.307	1.377	29.165	31.179	34.445
beta3_pH[12,1]	30.774	0.484	29.745	30.808	31.683
beta3_pH[13,1]	31.842	1.778	29.484	31.415	37.314
beta3_pH[14,1]	32.506	0.790	31.167	32.462	34.181
beta3_pH[15,1]	31.030	0.727	29.511	31.021	32.587
beta3_pH[16,1]	30.117	0.361	29.385	30.118	30.820
beta3_pH[1,2]	34.467	5.483	25.536	34.492	43.588
beta3_pH[2,2]	34.473	5.576	25.390	34.413	43.526
beta3_pH[3,2]	30.459	7.232	18.645	30.414	42.380
beta3_pH[4,2]	30.695	7.276	18.705	30.699	42.419
beta3_pH[5,2]	30.511	7.168	18.580	30.520	42.312
beta3_pH[6,2]	30.523	7.184	18.631	30.686	42.238
beta3_pH[7,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[9,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[10,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[11,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[12,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[13,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[14,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[15,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[16,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[1,3]	38.633	3.199	30.303	39.778	43.106
beta3_pH[2,3]	34.395	5.476	25.379	34.192	43.596
beta3_pH[3,3]	30.446	7.240	18.682	30.339	42.368
beta3_pH[4,3]	30.534	7.126	18.640	30.600	42.281
beta3_pH[5,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[6,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[7,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,3]	42.107	1.267	39.222	42.152	43.881
beta3_pH[9,3]	36.305	2.027	34.529	35.506	42.265
beta3_pH[10,3]	37.918	2.505	34.653	37.281	43.352
beta3_pH[11,3]	40.790	1.039	39.027	40.797	42.748
beta3_pH[12,3]	42.039	0.690	40.331	42.259	42.843
beta3_pH[13,3]	41.394	0.730	39.950	41.402	42.794
beta3_pH[14,3]	40.488	0.676	39.095	40.511	41.727
beta3_pH[15,3]	40.600	0.706	39.057	40.652	41.826
beta3_pH[16,3]	41.858	0.384	41.065	41.909	42.611
beta3_pH[11,4]	40.392	1.031	38.782	40.218	42.826
beta3_pH[12,4]	41.792	0.811	40.231	42.084	42.878
beta3_pH[13,4]	41.859	1.156	39.435	41.907	43.805
beta3_pH[14,4]	40.404	0.757	38.926	40.422	41.805
beta3_pH[15,4]	41.062	1.100	38.810	40.988	43.308
beta3_pH[16,4]	41.625	0.401	40.925	41.634	42.456
beta3_pH[11,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[12,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[13,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[14,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[15,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[16,5]	25.000	0.000	25.000	25.000	25.000
beta4_pH[1,1]	0.265	0.022	0.226	0.265	0.310
beta4_pH[2,1]	0.211	0.005	0.201	0.211	0.221
beta4_pH[3,1]	0.173	0.007	0.159	0.173	0.186
beta4_pH[4,1]	0.294	0.011	0.272	0.294	0.316
beta4_pH[5,1]	0.414	0.257	0.090	0.378	0.926
beta4_pH[6,1]	0.803	0.487	0.330	0.743	1.529
beta4_pH[7,1]	0.849	0.339	0.344	0.801	1.692
beta4_pH[8,1]	0.164	0.075	0.047	0.154	0.324
beta4_pH[9,1]	0.217	0.087	0.068	0.211	0.403
beta4_pH[10,1]	0.001	0.001	0.000	0.001	0.003
beta4_pH[11,1]	0.449	0.012	0.425	0.449	0.473
beta4_pH[12,1]	0.643	0.023	0.598	0.643	0.689
beta4_pH[13,1]	0.659	0.042	0.607	0.640	0.735
beta4_pH[14,1]	0.676	0.033	0.614	0.674	0.743
beta4_pH[15,1]	0.800	0.022	0.759	0.799	0.845
beta4_pH[16,1]	1.229	0.044	1.145	1.228	1.318
beta4_pH[1,2]	0.303	0.096	0.135	0.296	0.510
beta4_pH[2,2]	0.515	0.022	0.471	0.515	0.559
beta4_pH[3,2]	0.446	0.012	0.423	0.446	0.469
beta4_pH[4,2]	0.656	0.038	0.583	0.655	0.731
beta4_pH[5,2]	0.740	0.927	0.107	0.536	2.433
beta4_pH[6,2]	0.908	0.715	0.198	0.748	2.777
beta4_pH[7,2]	0.886	0.452	0.352	0.804	1.940
beta4_pH[8,2]	0.842	0.198	0.484	0.826	1.254
beta4_pH[9,2]	1.162	1.285	0.302	0.871	3.769
beta4_pH[10,2]	0.455	0.051	0.358	0.454	0.557
beta4_pH[11,2]	1.270	0.050	1.174	1.270	1.371
beta4_pH[12,2]	0.579	0.109	0.383	0.573	0.805
beta4_pH[13,2]	0.943	0.044	0.861	0.942	1.032
beta4_pH[14,2]	0.929	0.064	0.805	0.928	1.061
beta4_pH[15,2]	1.012	0.025	0.964	1.011	1.061
beta4_pH[16,2]	1.406	0.078	1.260	1.404	1.564
beta4_pH[1,3]	0.282	0.087	0.125	0.278	0.468
beta4_pH[2,3]	0.052	0.018	0.019	0.051	0.088
beta4_pH[3,3]	0.052	0.010	0.033	0.052	0.071
beta4_pH[4,3]	0.173	0.032	0.110	0.173	0.233
beta4_pH[5,3]	0.752	0.862	0.123	0.558	2.478
beta4_pH[6,3]	0.884	0.697	0.183	0.718	2.528
beta4_pH[7,3]	0.886	0.432	0.346	0.812	1.921
beta4_pH[8,3]	0.423	0.200	0.114	0.393	0.898
beta4_pH[9,3]	0.906	0.785	0.164	0.705	2.955
beta4_pH[10,3]	0.061	0.041	0.003	0.055	0.155
beta4_pH[11,3]	0.363	0.016	0.334	0.363	0.395
beta4_pH[12,3]	0.440	0.041	0.362	0.439	0.521
beta4_pH[13,3]	0.837	0.038	0.765	0.836	0.913
beta4_pH[14,3]	0.825	0.065	0.702	0.824	0.953
beta4_pH[15,3]	0.635	0.017	0.603	0.634	0.669
beta4_pH[16,3]	0.638	0.035	0.573	0.637	0.708
beta4_pH[1,4]	0.630	0.359	0.204	0.551	1.433
beta4_pH[2,4]	0.836	0.994	0.112	0.583	3.042
beta4_pH[3,4]	0.841	0.898	0.115	0.583	3.153
beta4_pH[4,4]	0.730	0.471	0.219	0.620	1.862
beta4_pH[5,4]	0.785	1.025	0.114	0.566	2.934
beta4_pH[6,4]	0.943	0.957	0.200	0.742	2.899
beta4_pH[7,4]	0.881	0.439	0.343	0.806	1.814
beta4_pH[8,4]	0.726	0.583	0.146	0.598	2.116
beta4_pH[9,4]	0.783	0.987	0.125	0.562	2.825
beta4_pH[10,4]	1.597	3.351	0.006	0.383	12.911
beta4_pH[11,4]	0.444	0.017	0.410	0.444	0.477
beta4_pH[12,4]	0.558	0.053	0.461	0.555	0.665
beta4_pH[13,4]	0.925	0.036	0.854	0.924	0.997
beta4_pH[14,4]	0.915	0.074	0.782	0.913	1.069
beta4_pH[15,4]	0.714	0.020	0.675	0.713	0.755
beta4_pH[16,4]	0.689	0.042	0.612	0.688	0.775
beta4_pH[1,5]	0.634	0.392	0.209	0.564	1.454
beta4_pH[2,5]	0.830	0.897	0.119	0.579	2.990
beta4_pH[3,5]	0.828	1.043	0.109	0.576	2.880
beta4_pH[4,5]	0.741	0.610	0.208	0.635	1.832
beta4_pH[5,5]	0.763	0.857	0.104	0.562	2.750
beta4_pH[6,5]	0.912	0.842	0.209	0.740	2.642
beta4_pH[7,5]	0.885	0.435	0.336	0.809	1.898
beta4_pH[8,5]	0.737	0.608	0.157	0.593	2.197
beta4_pH[9,5]	0.743	0.808	0.123	0.542	2.423
beta4_pH[10,5]	1.354	2.961	0.008	0.360	10.938
beta4_pH[11,5]	0.603	0.052	0.505	0.600	0.710
beta4_pH[12,5]	0.588	0.171	0.302	0.570	0.975
beta4_pH[13,5]	0.773	0.062	0.657	0.771	0.902
beta4_pH[14,5]	0.843	0.115	0.638	0.839	1.084
beta4_pH[15,5]	1.144	0.073	1.006	1.142	1.292
beta4_pH[16,5]	20.137	3.525	12.091	20.753	24.812
beta0_pelagic[1]	2.267	0.036	2.202	2.266	2.339
beta0_pelagic[2]	1.538	0.007	1.525	1.538	1.552
beta0_pelagic[3]	0.211	0.273	-0.527	0.272	0.573
beta0_pelagic[4]	0.215	0.300	-0.611	0.257	0.710
beta0_pelagic[5]	1.445	0.155	1.151	1.442	1.756
beta0_pelagic[6]	1.352	0.059	1.235	1.352	1.470
beta0_pelagic[7]	1.484	0.039	1.410	1.484	1.563
beta0_pelagic[8]	1.674	0.044	1.591	1.672	1.762
beta0_pelagic[9]	2.796	0.067	2.671	2.793	2.931
beta0_pelagic[10]	2.604	0.031	2.545	2.604	2.668
beta0_pelagic[11]	-0.199	0.194	-0.656	-0.180	0.132
beta0_pelagic[12]	1.802	0.035	1.738	1.801	1.874
beta0_pelagic[13]	-0.775	0.573	-1.695	-0.825	0.171
beta0_pelagic[14]	-0.304	0.197	-0.813	-0.280	0.002
beta0_pelagic[15]	-0.214	0.038	-0.311	-0.198	-0.180
beta0_pelagic[16]	-0.365	0.382	-1.489	-0.268	0.102
beta1_pelagic[1]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[2]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[3]	0.734	0.307	0.295	0.688	1.593
beta1_pelagic[4]	0.835	0.328	0.298	0.791	1.729
beta1_pelagic[5]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[6]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[7]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[8]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[9]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[10]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[11]	1.237	0.274	0.752	1.215	1.881
beta1_pelagic[12]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[13]	2.511	0.712	1.138	2.556	3.867
beta1_pelagic[14]	1.846	0.466	1.161	1.743	3.001
beta1_pelagic[15]	0.110	0.175	0.000	0.019	0.635
beta1_pelagic[16]	1.469	0.608	0.716	1.290	2.981
beta2_pelagic[1]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[2]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[3]	6.308	5.893	0.190	4.510	20.465
beta2_pelagic[4]	7.510	6.135	0.289	6.220	21.817
beta2_pelagic[5]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[6]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[7]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[8]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[9]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[10]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[11]	1.591	1.455	0.242	1.084	5.648
beta2_pelagic[12]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[13]	0.224	0.131	0.096	0.184	0.627
beta2_pelagic[14]	0.782	0.780	0.182	0.553	2.946
beta2_pelagic[15]	2.662	1.953	0.155	2.262	7.275
beta2_pelagic[16]	0.948	1.207	0.125	0.474	4.870
beta3_pelagic[1]	28.788	3.889	22.356	28.736	35.187
beta3_pelagic[2]	28.708	3.897	22.328	28.613	35.141
beta3_pelagic[3]	27.876	2.740	23.195	28.130	32.528
beta3_pelagic[4]	26.148	1.604	22.720	26.310	29.806
beta3_pelagic[5]	29.344	6.590	18.440	29.248	40.416
beta3_pelagic[6]	29.560	6.588	18.681	29.509	40.430
beta3_pelagic[7]	29.423	6.623	18.496	29.627	40.236
beta3_pelagic[8]	29.497	6.671	18.575	29.527	40.439
beta3_pelagic[9]	29.449	6.605	18.649	29.234	40.379
beta3_pelagic[10]	29.498	6.614	18.484	29.393	40.475
beta3_pelagic[11]	30.043	1.203	27.669	30.069	32.573
beta3_pelagic[12]	30.000	0.000	30.000	30.000	30.000
beta3_pelagic[13]	32.144	4.281	24.804	31.925	39.485
beta3_pelagic[14]	34.311	1.669	31.500	34.115	38.259
beta3_pelagic[15]	34.380	5.622	23.835	35.144	41.733
beta3_pelagic[16]	31.718	2.785	26.448	31.444	38.596
beta0_yellow[1]	-0.483	0.081	-0.637	-0.484	-0.322
beta0_yellow[2]	0.546	0.084	0.359	0.551	0.690
beta0_yellow[3]	-0.209	0.126	-0.457	-0.209	0.014
beta0_yellow[4]	0.908	0.236	0.263	0.966	1.196
beta0_yellow[5]	0.249	0.325	-0.429	0.266	0.815
beta0_yellow[6]	0.816	0.105	0.617	0.815	1.023
beta0_yellow[7]	0.996	0.091	0.817	0.997	1.168
beta0_yellow[8]	1.027	0.094	0.845	1.025	1.216
beta0_yellow[9]	0.459	0.102	0.259	0.457	0.658
beta0_yellow[10]	0.540	0.070	0.403	0.540	0.676
beta0_yellow[11]	-0.205	0.124	-0.469	-0.193	0.010
beta0_yellow[12]	-1.081	0.095	-1.265	-1.080	-0.896
beta0_yellow[13]	-1.362	0.186	-1.787	-1.339	-1.056
beta0_yellow[14]	-0.256	0.156	-0.571	-0.240	-0.015
beta0_yellow[15]	-1.247	0.141	-1.526	-1.232	-1.033
beta0_yellow[16]	-0.257	0.093	-0.439	-0.255	-0.075
beta1_yellow[1]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[2]	1.012	0.246	0.535	1.009	1.484
beta1_yellow[3]	0.469	0.247	0.018	0.478	0.913
beta1_yellow[4]	1.283	0.532	0.620	1.163	2.951
beta1_yellow[5]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[6]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[7]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[8]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[9]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[10]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[11]	0.294	0.364	0.001	0.115	1.193
beta1_yellow[12]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[13]	1.814	1.688	0.031	1.021	5.850
beta1_yellow[14]	0.701	0.992	0.013	0.428	4.009
beta1_yellow[15]	0.149	0.174	0.011	0.076	0.609
beta1_yellow[16]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[1]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[2]	-7.789	5.934	-22.615	-6.630	-0.361
beta2_yellow[3]	-7.742	5.668	-21.074	-6.514	-0.505
beta2_yellow[4]	-5.765	5.870	-20.758	-3.959	-0.143
beta2_yellow[5]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[6]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[7]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[8]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[9]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[10]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[11]	-10.519	6.676	-21.637	-10.177	-0.539
beta2_yellow[12]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[13]	-5.724	5.074	-17.281	-4.224	-0.309
beta2_yellow[14]	-7.075	5.511	-20.339	-5.858	-0.396
beta2_yellow[15]	-9.184	5.283	-19.394	-9.406	-0.439
beta2_yellow[16]	0.000	0.000	0.000	0.000	0.000
beta3_yellow[1]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[2]	28.789	1.145	27.118	28.650	31.711
beta3_yellow[3]	32.472	3.115	24.030	32.549	39.070
beta3_yellow[4]	29.975	3.272	23.966	28.785	35.858
beta3_yellow[5]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[6]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[7]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[8]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[9]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[10]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[11]	35.079	3.663	30.379	34.083	43.402
beta3_yellow[12]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[13]	32.776	3.013	29.085	32.455	39.303
beta3_yellow[14]	33.944	3.568	29.232	33.479	42.987
beta3_yellow[15]	36.511	3.798	30.291	36.295	43.615
beta3_yellow[16]	35.000	0.000	35.000	35.000	35.000
beta0_black[1]	0.013	0.076	-0.134	0.014	0.160
beta0_black[2]	1.855	0.032	1.790	1.855	1.916
beta0_black[3]	1.238	0.038	1.164	1.239	1.312
beta0_black[4]	2.424	0.047	2.335	2.423	2.514
beta0_black[5]	5.158	2.402	1.695	4.693	11.097
beta0_black[6]	5.240	2.146	2.639	4.682	10.928
beta0_black[7]	4.101	2.102	1.589	3.553	9.799
beta0_black[8]	0.903	0.222	0.489	0.895	1.371
beta0_black[9]	2.800	0.270	2.273	2.796	3.345
beta0_black[10]	1.290	0.051	1.191	1.290	1.387
beta0_black[11]	2.979	0.051	2.879	2.979	3.079
beta0_black[12]	4.918	0.188	4.548	4.920	5.282
beta0_black[13]	0.421	0.328	0.016	0.341	1.220
beta0_black[14]	2.852	0.109	2.640	2.851	3.072
beta0_black[15]	0.723	0.052	0.620	0.723	0.824
beta0_black[16]	3.772	0.073	3.629	3.772	3.914
beta2_black[1]	0.000	0.000	0.000	0.000	0.000
beta2_black[2]	0.000	0.000	0.000	0.000	0.000
beta2_black[3]	0.000	0.000	0.000	0.000	0.000
beta2_black[4]	0.000	0.000	0.000	0.000	0.000
beta2_black[5]	0.000	0.000	0.000	0.000	0.000
beta2_black[6]	0.000	0.000	0.000	0.000	0.000
beta2_black[7]	0.000	0.000	0.000	0.000	0.000
beta2_black[8]	0.000	0.000	0.000	0.000	0.000
beta2_black[9]	0.000	0.000	0.000	0.000	0.000
beta2_black[10]	0.000	0.000	0.000	0.000	0.000
beta2_black[11]	0.000	0.000	0.000	0.000	0.000
beta2_black[12]	0.000	0.000	0.000	0.000	0.000
beta2_black[13]	-2.553	1.733	-6.713	-2.194	-0.289
beta2_black[14]	0.000	0.000	0.000	0.000	0.000
beta2_black[15]	0.000	0.000	0.000	0.000	0.000
beta2_black[16]	0.000	0.000	0.000	0.000	0.000
beta3_black[1]	25.000	0.000	25.000	25.000	25.000
beta3_black[2]	25.000	0.000	25.000	25.000	25.000
beta3_black[3]	25.000	0.000	25.000	25.000	25.000
beta3_black[4]	25.000	0.000	25.000	25.000	25.000
beta3_black[5]	25.000	0.000	25.000	25.000	25.000
beta3_black[6]	25.000	0.000	25.000	25.000	25.000
beta3_black[7]	25.000	0.000	25.000	25.000	25.000
beta3_black[8]	25.000	0.000	25.000	25.000	25.000
beta3_black[9]	25.000	0.000	25.000	25.000	25.000
beta3_black[10]	25.000	0.000	25.000	25.000	25.000
beta3_black[11]	25.000	0.000	25.000	25.000	25.000
beta3_black[12]	25.000	0.000	25.000	25.000	25.000
beta3_black[13]	37.438	3.313	27.325	38.205	41.044
beta3_black[14]	25.000	0.000	25.000	25.000	25.000
beta3_black[15]	25.000	0.000	25.000	25.000	25.000
beta3_black[16]	25.000	0.000	25.000	25.000	25.000
beta4_black[1]	-0.328	0.091	-0.514	-0.326	-0.150
beta4_black[2]	0.259	0.052	0.156	0.258	0.363
beta4_black[3]	-0.717	0.063	-0.838	-0.718	-0.589
beta4_black[4]	0.629	0.130	0.382	0.624	0.886
beta4_black[5]	0.794	1.634	-1.278	0.488	4.192
beta4_black[6]	0.874	1.650	-0.952	0.557	4.340
beta4_black[7]	0.824	1.722	-1.020	0.512	4.248
beta4_black[8]	0.071	0.291	-0.546	0.082	0.618
beta4_black[9]	1.033	0.799	-0.094	0.880	3.033
beta4_black[10]	0.072	0.066	-0.058	0.073	0.202
beta4_black[11]	-0.612	0.065	-0.735	-0.612	-0.482
beta4_black[12]	1.229	0.291	0.683	1.220	1.834
beta4_black[13]	-1.003	0.077	-1.159	-1.002	-0.853
beta4_black[14]	0.215	0.180	-0.132	0.213	0.582
beta4_black[15]	0.003	0.047	-0.089	0.003	0.094
beta4_black[16]	-0.417	0.116	-0.636	-0.420	-0.185
beta0_dsr[11]	-0.329	0.009	-0.347	-0.328	-0.310
beta0_dsr[12]	1.409	0.045	1.325	1.408	1.498
beta0_dsr[13]	0.155	0.021	0.114	0.155	0.195
beta0_dsr[14]	-0.127	0.017	-0.160	-0.127	-0.094
beta0_dsr[15]	0.205	0.014	0.179	0.206	0.233
beta0_dsr[16]	0.157	0.016	0.123	0.157	0.189
beta1_dsr[11]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[12]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[13]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[14]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[15]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[16]	0.000	0.000	0.000	0.000	0.000
beta4_dsr[11]	0.544	0.035	0.473	0.545	0.612
beta4_dsr[12]	0.800	0.233	0.359	0.797	1.271
beta4_dsr[13]	-0.078	0.039	-0.155	-0.078	-0.002
beta4_dsr[14]	-0.209	0.070	-0.347	-0.209	-0.068
beta4_dsr[15]	0.217	0.022	0.175	0.216	0.259
beta4_dsr[16]	-0.047	0.046	-0.136	-0.048	0.046
beta0_slope[11]	-2.208	0.022	-2.252	-2.208	-2.165
beta0_slope[12]	-4.984	0.188	-5.362	-4.978	-4.636
beta0_slope[13]	-1.502	0.034	-1.570	-1.501	-1.437
beta0_slope[14]	-2.711	0.051	-2.814	-2.710	-2.614
beta0_slope[15]	-1.592	0.022	-1.635	-1.592	-1.549
beta0_slope[16]	-2.633	0.040	-2.710	-2.633	-2.556
beta1_slope[11]	0.000	0.000	0.000	0.000	0.000
beta1_slope[12]	0.000	0.000	0.000	0.000	0.000
beta1_slope[13]	0.000	0.000	0.000	0.000	0.000
beta1_slope[14]	0.000	0.000	0.000	0.000	0.000
beta1_slope[15]	0.000	0.000	0.000	0.000	0.000
beta1_slope[16]	0.000	0.000	0.000	0.000	0.000
beta4_slope[11]	-0.334	0.072	-0.476	-0.332	-0.194
beta4_slope[12]	-4.638	0.792	-6.293	-4.595	-3.187
beta4_slope[13]	0.329	0.053	0.225	0.329	0.433
beta4_slope[14]	-0.160	0.151	-0.462	-0.157	0.131
beta4_slope[15]	-0.360	0.033	-0.424	-0.361	-0.297
beta4_slope[16]	-0.162	0.101	-0.363	-0.161	0.028
beta5_slope[11]	3.062	0.108	2.857	3.062	3.271
beta5_slope[12]	2.002	0.389	1.293	1.982	2.825
beta5_slope[13]	0.877	0.079	0.718	0.877	1.032
beta5_slope[14]	3.753	0.363	3.082	3.739	4.507
beta5_slope[15]	1.305	0.071	1.169	1.304	1.451
beta5_slope[16]	2.728	0.235	2.291	2.714	3.216
tau_comp[1]	3.788	0.292	3.270	3.774	4.394
tau_comp[2]	2.866	0.255	2.397	2.855	3.381
tau_comp[3]	0.872	0.074	0.729	0.870	1.024
tau_comp[4]	1.787	0.284	1.304	1.757	2.416
tau_comp[5]	1.290	0.193	0.941	1.279	1.702
sigma_H[1]	0.207	0.048	0.124	0.204	0.312
sigma_H[2]	0.174	0.029	0.127	0.171	0.237
sigma_H[3]	0.187	0.041	0.115	0.185	0.275
sigma_H[4]	0.460	0.080	0.331	0.450	0.639
sigma_H[5]	0.956	0.206	0.582	0.943	1.392
sigma_H[6]	0.527	0.199	0.144	0.525	0.942
sigma_H[7]	0.309	0.063	0.213	0.300	0.455
sigma_H[8]	0.417	0.092	0.256	0.409	0.609
sigma_H[9]	0.510	0.118	0.329	0.492	0.787
sigma_H[10]	0.210	0.039	0.144	0.206	0.298
sigma_H[11]	0.265	0.043	0.192	0.261	0.359
sigma_H[12]	0.384	0.149	0.199	0.337	0.730
sigma_H[13]	0.215	0.035	0.156	0.211	0.291
sigma_H[14]	0.496	0.088	0.347	0.487	0.686
sigma_H[15]	0.229	0.037	0.165	0.226	0.311
sigma_H[16]	0.213	0.040	0.150	0.209	0.308
lambda_H[1]	2.183	3.287	0.073	1.038	11.135
lambda_H[2]	5.174	4.866	0.509	3.700	17.991
lambda_H[3]	5.280	7.269	0.291	2.761	26.320
lambda_H[4]	0.007	0.004	0.001	0.006	0.018
lambda_H[5]	2.608	5.914	0.028	0.656	20.528
lambda_H[6]	6.575	14.413	0.009	0.340	49.507
lambda_H[7]	0.012	0.008	0.002	0.010	0.032
lambda_H[8]	7.743	10.247	0.074	4.102	35.140
lambda_H[9]	0.015	0.010	0.003	0.012	0.040
lambda_H[10]	0.226	0.300	0.024	0.156	0.822
lambda_H[11]	0.218	0.312	0.010	0.098	1.113
lambda_H[12]	3.741	5.042	0.171	2.123	17.500
lambda_H[13]	3.299	3.148	0.280	2.356	11.747
lambda_H[14]	3.390	4.226	0.243	2.180	14.259
lambda_H[15]	0.019	0.031	0.003	0.014	0.055
lambda_H[16]	0.558	1.154	0.032	0.245	3.098
mu_lambda_H[1]	4.095	1.920	1.073	3.848	8.407
mu_lambda_H[2]	3.696	1.963	0.494	3.543	7.803
mu_lambda_H[3]	3.390	1.886	0.761	3.037	7.843
sigma_lambda_H[1]	8.178	4.378	1.729	7.448	18.083
sigma_lambda_H[2]	8.132	4.707	0.810	7.577	18.245
sigma_lambda_H[3]	6.220	4.047	0.988	5.285	16.256
beta_H[1,1]	6.512	1.303	3.355	6.737	8.432
beta_H[2,1]	9.752	0.612	8.368	9.797	10.854
beta_H[3,1]	7.844	0.809	6.070	7.939	9.093
beta_H[4,1]	10.692	7.480	-4.120	10.721	25.980
beta_H[5,1]	-0.365	2.686	-5.916	-0.146	3.934
beta_H[6,1]	3.266	4.225	-7.505	4.719	8.327
beta_H[7,1]	1.056	5.750	-10.817	1.231	11.681
beta_H[8,1]	1.379	4.161	-2.596	1.201	3.462
beta_H[9,1]	13.662	5.790	2.221	13.622	25.048
beta_H[10,1]	6.821	1.856	3.030	6.926	10.490
beta_H[11,1]	4.766	3.568	-2.750	5.356	9.998
beta_H[12,1]	2.602	1.091	0.599	2.532	4.945
beta_H[13,1]	9.066	0.832	7.126	9.128	10.486
beta_H[14,1]	2.142	1.006	0.260	2.137	4.060
beta_H[15,1]	-7.042	3.371	-13.323	-7.215	0.041
beta_H[16,1]	4.071	3.001	-0.762	3.666	10.756
beta_H[1,2]	7.772	0.272	7.203	7.782	8.285
beta_H[2,2]	9.888	0.160	9.570	9.891	10.195
beta_H[3,2]	8.795	0.201	8.386	8.798	9.189
beta_H[4,2]	2.972	1.419	0.212	2.941	5.824
beta_H[5,2]	1.766	1.005	-0.195	1.766	3.726
beta_H[6,2]	6.037	1.108	3.544	6.221	7.814
beta_H[7,2]	2.432	1.062	0.441	2.383	4.638
beta_H[8,2]	2.975	1.191	1.180	3.135	4.242
beta_H[9,2]	3.163	1.088	1.110	3.136	5.391
beta_H[10,2]	8.028	0.369	7.268	8.041	8.738
beta_H[11,2]	9.843	0.651	8.840	9.750	11.222
beta_H[12,2]	3.931	0.377	3.208	3.920	4.702
beta_H[13,2]	9.158	0.235	8.710	9.153	9.637
beta_H[14,2]	4.027	0.341	3.374	4.025	4.696
beta_H[15,2]	11.545	0.617	10.282	11.568	12.679
beta_H[16,2]	4.490	0.820	2.993	4.456	6.215
beta_H[1,3]	8.450	0.270	7.970	8.447	8.997
beta_H[2,3]	9.875	0.149	9.577	9.874	10.173
beta_H[3,3]	9.474	0.164	9.149	9.472	9.807
beta_H[4,3]	-2.115	0.857	-3.805	-2.101	-0.437
beta_H[5,3]	3.890	0.610	2.680	3.915	5.042
beta_H[6,3]	8.349	1.178	6.713	8.048	10.812
beta_H[7,3]	-2.591	0.629	-3.840	-2.587	-1.418
beta_H[8,3]	5.320	0.568	4.677	5.232	6.612
beta_H[9,3]	-2.673	0.713	-4.113	-2.663	-1.299
beta_H[10,3]	8.563	0.278	8.023	8.561	9.122
beta_H[11,3]	8.492	0.294	7.880	8.513	9.018
beta_H[12,3]	5.273	0.314	4.549	5.316	5.797
beta_H[13,3]	8.920	0.190	8.553	8.922	9.293
beta_H[14,3]	5.795	0.264	5.241	5.810	6.269
beta_H[15,3]	10.283	0.293	9.724	10.282	10.877
beta_H[16,3]	5.871	0.625	4.588	5.877	7.027
beta_H[1,4]	8.092	0.185	7.692	8.102	8.428
beta_H[2,4]	9.861	0.134	9.594	9.864	10.116
beta_H[3,4]	9.964	0.154	9.632	9.974	10.231
beta_H[4,4]	11.796	0.465	10.855	11.795	12.712
beta_H[5,4]	5.557	0.728	4.399	5.482	7.213
beta_H[6,4]	7.192	0.890	5.317	7.407	8.517
beta_H[7,4]	8.539	0.337	7.885	8.552	9.186
beta_H[8,4]	6.717	0.273	6.131	6.731	7.165
beta_H[9,4]	7.418	0.438	6.566	7.392	8.299
beta_H[10,4]	7.527	0.227	7.090	7.526	7.985
beta_H[11,4]	9.505	0.192	9.117	9.508	9.878
beta_H[12,4]	7.241	0.197	6.854	7.240	7.663
beta_H[13,4]	9.076	0.138	8.791	9.081	9.330
beta_H[14,4]	7.839	0.215	7.427	7.833	8.274
beta_H[15,4]	9.471	0.218	9.048	9.472	9.906
beta_H[16,4]	9.440	0.248	8.959	9.437	9.943
beta_H[1,5]	8.897	0.154	8.573	8.901	9.180
beta_H[2,5]	10.674	0.100	10.486	10.672	10.879
beta_H[3,5]	10.764	0.162	10.471	10.756	11.097
beta_H[4,5]	8.356	0.492	7.416	8.352	9.357
beta_H[5,5]	5.169	0.603	3.743	5.256	6.133
beta_H[6,5]	8.952	0.616	8.022	8.832	10.302
beta_H[7,5]	6.569	0.353	5.869	6.554	7.285
beta_H[8,5]	8.244	0.219	7.892	8.223	8.683
beta_H[9,5]	8.197	0.450	7.256	8.209	9.053
beta_H[10,5]	10.039	0.220	9.618	10.036	10.472
beta_H[11,5]	11.597	0.219	11.171	11.596	12.035
beta_H[12,5]	8.596	0.188	8.225	8.599	8.964
beta_H[13,5]	10.121	0.126	9.885	10.118	10.371
beta_H[14,5]	9.241	0.218	8.849	9.231	9.713
beta_H[15,5]	11.312	0.231	10.860	11.311	11.756
beta_H[16,5]	9.829	0.180	9.456	9.832	10.166
beta_H[1,6]	10.115	0.235	9.746	10.079	10.690
beta_H[2,6]	11.472	0.112	11.259	11.470	11.697
beta_H[3,6]	10.616	0.154	10.292	10.624	10.902
beta_H[4,6]	12.896	0.873	11.154	12.909	14.584
beta_H[5,6]	5.668	0.629	4.531	5.631	6.924
beta_H[6,6]	8.734	0.542	7.570	8.757	9.788
beta_H[7,6]	10.544	0.596	9.296	10.542	11.701
beta_H[8,6]	9.516	0.287	8.982	9.538	9.955
beta_H[9,6]	8.295	0.756	6.874	8.264	9.914
beta_H[10,6]	9.149	0.335	8.440	9.170	9.747
beta_H[11,6]	10.680	0.367	9.896	10.709	11.338
beta_H[12,6]	9.378	0.243	8.920	9.368	9.887
beta_H[13,6]	11.097	0.154	10.806	11.094	11.420
beta_H[14,6]	9.928	0.274	9.372	9.933	10.447
beta_H[15,6]	10.542	0.410	9.742	10.543	11.389
beta_H[16,6]	10.601	0.256	10.072	10.610	11.093
beta_H[1,7]	10.194	1.268	6.884	10.488	11.935
beta_H[2,7]	12.120	0.506	10.998	12.153	13.024
beta_H[3,7]	10.263	0.669	8.754	10.321	11.370
beta_H[4,7]	1.480	4.487	-7.148	1.374	10.486
beta_H[5,7]	5.833	2.046	1.858	5.908	9.770
beta_H[6,7]	7.214	3.095	-0.343	8.326	11.003
beta_H[7,7]	7.632	3.029	1.766	7.658	13.595
beta_H[8,7]	10.889	1.064	9.229	10.872	12.492
beta_H[9,7]	4.974	3.906	-3.063	5.119	12.465
beta_H[10,7]	9.990	1.596	7.247	9.847	13.414
beta_H[11,7]	11.425	1.848	8.073	11.213	15.528
beta_H[12,7]	9.805	0.991	7.639	9.881	11.446
beta_H[13,7]	11.740	0.690	10.182	11.796	12.942
beta_H[14,7]	10.660	0.894	8.779	10.712	12.281
beta_H[15,7]	14.069	2.168	9.640	14.055	18.354
beta_H[16,7]	12.846	1.386	10.480	12.717	15.925
beta0_H[1]	8.531	18.736	-28.873	8.784	46.022
beta0_H[2]	10.634	7.987	-5.617	10.704	26.965
beta0_H[3]	9.855	9.931	-10.251	9.772	31.758
beta0_H[4]	11.648	186.339	-356.955	10.044	376.442
beta0_H[5]	5.097	29.353	-46.413	4.151	63.133
beta0_H[6]	6.933	52.425	-116.862	7.767	122.120
beta0_H[7]	8.843	137.189	-277.957	6.889	291.565
beta0_H[8]	5.841	35.188	-22.068	6.585	32.358
beta0_H[9]	4.861	122.192	-241.417	5.625	254.098
beta0_H[10]	8.790	38.487	-68.420	9.041	91.531
beta0_H[11]	10.151	53.958	-105.103	9.031	120.826
beta0_H[12]	6.399	12.509	-18.806	6.635	30.962
beta0_H[13]	10.067	10.724	-11.027	10.087	30.330
beta0_H[14]	7.001	11.804	-16.627	7.163	30.047
beta0_H[15]	8.997	118.082	-220.520	8.468	249.527
beta0_H[16]	7.692	31.794	-54.697	7.675	73.474